I don't believe in ghosts.

Well I don't know about all that, but I know they're real because I saw them on Ghost Busters. Who you going to call?

I thought he was talking about Catholic Mass

Ghosts are not real, period. The whole question is moot.

This is a good thought exercise. Others below have good replies. Let me add mine. It's similar to @carlyhorton's reply.

When you say "without mass", do you mean exactly zero mass? Or do you mean "almost" 0 mass like a neutrino - which was once thought to have no mass but has now been found to have a very small amount of non-zero mass.

Regardless, mass or no mass, the Earth's gravity, rotation around its axis, revolution around the Sun, micro-air currents from others' movements, sound waves that's bouncing around the room, etc. would exert force on it.

That's probably why that "ghost" is shimmering. All those forces are exciting its zero-mass (or very light) molecules which then produces its blinking lights. (I'm no scientist, so all that may all be gibberish.) Or maybe, because their molecules are so very easy to excite, photons are continually blinking in and out of existence in and around its - similar to virtual particles of Quantum Mechanics.

Anyway, because because force is exerted on it, it will never be stationary. The largest forces that would be exerted on it are: gravity, rotation and revolution. Therefore, that ghost will "follow" those forces rather than "be left alone".

E.g. When you throw a ball up in the air while in a moving car, the ball will follow the car's trajectory and land back on your lap. Granted, the ball has mass. But whatever.

Anyway, ghosts are real. Booo' oohhh oooohhhh!

As an aside, if our bodies are the vessel of our "spirit" (i.e. consciousness), would the physical and visible entity that is our ghost (that glimmering spectre hovering on our favourite chair after our death) also be just another vessel for our "spirit"?

I can imagine the conversation:
"I'm a member of a great nonbeliever site called agnostic.com"
"Great! What do you talk about?"
"Oh, you know, Ghosts. How the might exist. The physics behind them. That sort of thing."
"Ahhh.. That's .....interesting"

If they had mass, then I guess the Earth's gravity would keep them in place as the planet rotates. But they'd be stuck in one spot unless they also had energy. They'd need energy to move around and haunt people. Or to creepily move rocking chairs, move air to make candles spookily flicker, or menacingly slam doors. You'd think that modern technology could detect the mass and energy needed to do these things. But noooooooooo.......

[en.wikipedia.org] - absolute rubbish, but good fun.

I don't think so

When I was a kid I read a fiction book that addressed this. It said a human ghost had the same weight as a bullet which is why no one noticed it on a scale before.

It was funnier the way the author phrased it.

Now I'm imagining our ghost trail, like slug slime spread out behind us.

At first I thought this was going to be a silly pseudo-religious post, but it's actually a good point that I don't think I've heard before.

Thought they weighed 21 grams lol. Where would they keep the storage containment system? And the slime factor would be out of control.

Do ideas have mass? Does meaning have mass? Does hope have mass?

First, prove they exist. Second, weigh them to answer the question. If you can never do the first, then the second is irrelevant.

Always moving at the speed of light.

If they did exist and did have mass we would be able to measure it and prove their existence. We have no means to measure with empirical evidence the imagination.

They are composed of dark gravity, which has negative mass, to offset the weight of the sheet with two eye holes.